Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2023 2023 2023 Jadavpur University, Department of Mathematics, Kolkata, India Barbara Charchekhandra One of the most important features offered by virtualization is the live migration of virtual machines, and it is defined as the migration of a virtual machine from one physical host to another physical host while maintaining the continuity of service for applications running on this machine. The PRE-COPY algorithm is one of the most important live migration algorithms. The working principle of this algorithm is based on the frequent transfer of changed memory pages (dirty page) between the source and the target, so that the repetition stops at a certain threshold. This algorithm suffers from a page re-send problem, which is moving the same memory pages repeatedly in each Itern, which increases the amount of data sent over the network, and thus the total live migration time increases and the total of memory pages transferred becomes much larger than The actual size of the memory. In this paper, we build a model to improve the total time of live migration in the event that co-resident Inter-VM communication. We have made a modification to the XENVMC communication protocol, which is a protocol based on the concept of shared memory to handle communication and speed up data transfer between co-resident virtual machines. The modification of the XENVMC protocol has improved the total live migration time and reduced the number of pages transmitted over the network, for two main reasons: the first is to reduce the number of changed pages in memory caused by communication between virtual machines, and the second reason is due to the acceleration of communication and data exchange between that co-resident Inter-VM communication. 2023 2023 32 46 10.54216/PMTCS.010103 https://www.americaspg.com/articleinfo/40/show/2023